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Finding the Fourth Proportional to 8,524.72, 11,764 and 4,987.24

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Solution

The fourth proportional to 8,524.72, 11,764 and 4,987.24 is: 6,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.72 : 11,764 = 4,987.24 : x
  2. Step 2: Convert to fraction form
    8,524.72/11,764 = 4,987.24/x
  3. Step 3: Cross multiply
    8,524.72x = 11,764 × 4,987.24
  4. Step 4: Simplify right side
    8,524.72x = 58,669,891.36
  5. Step 5: Solve for x
    x = 58,669,891.36/8,524.72
  6. Step 6: Final answer
    x = 6,882.32

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.